% EE3 Boost SMPS Design Report 
% Vasil Zlatanov, Sheheryar Salman
% 99 March 2018


# Selection of Components

## Inductor sizing

$$ L = \frac{V_{I} \times (V_{O} - V_{I})}{\Delta I_{L}  \times f_{S} \times V_{O}} $$

We require an input current ripple of 10%. At 10V input 20V output and 90% efficiency this would be 0.22A ripple.

$$ L = \frac{ 10V \times (20V - 10V)}{0.22A \times 250kHz \times V_O} \approx 100uH $$

## Maximum Switch Current

To find the switch current we will first calculate the duty cycle required to produce the required output voltage, when we are working of the minimum input.

$$ \delta = 1 - \frac{V_I_M \times \nu}{V_O} = 1 - \frac{8V \times 0.9}{20V} = 0.64 $$

Where $\nu$ is the minimum efficienecy as we want to compensate for power loss.